Word Pronunciation & Dictionary

capelli's identity

Word Rarity Very rare

Frequency: Zipf frequency 0.00 in modern English

Syllables
capel-li's i-den-ti-ty
IPA
24
Scrabble Score
16
Letters
5
Syllables
11
Unique Chars

Meaning

name

An analog of the formula det(AB) = det(A) det(B), for certain matrices with noncommuting entries, related to the representation theory of the Lie algebra glₙ. It can be used to relate an invariant ƒ to the invariant Ωƒ, where Ω is Cayley's Ω process.

Etymology

Questions

What does capelli's identity mean?
An analog of the formula det(AB) = det(A) det(B), for certain matrices with noncommuting entries, related to the representation theory of the Lie algebra glₙ. It can be used to relate an invariant ƒ to the invariant Ωƒ, where Ω is Cayley's Ω process.
Where does capelli's identity come from?
Named after Alfredo Capelli (1887).

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